Comparison of some optimal derivative-free three-point iterations

Thugal Zhanlav, Khuder Otgondorj
2020 Journal of Numerical Analysis and Approximation Theory  
We show that the well-known Khattri et al. methods and Zheng et al. methods are identical. In passing, we propose a suitable calculation formula for Khattri et al. methods. We also show that the families of eighth-order derivative-free methods obtained in [8] include some existing methods, among them the above-mentioned ones as particular cases. We also give the sufficient convergence condition of these families. Numerical examples and comparison with some existing methods were made. In
more » ... , the dynamical behavior of methods of these families is analyzed.
doi:10.33993/jnaat491-1179 fatcat:aiply2lqjbf4xl5jlrseodlojy